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Quelques remarques sur des questions d'approximation diophantienne
Published online by Cambridge University Press: 17 April 2009
Abstract
Hoping for a hand-shake between methods from diophantine approximation theory and transcendance theory, we show how zeros estimates from transcendance theory imply Roth's type lemmas (including the product theorem). We also formulate some strong conjectures on lower bounds for linear forms in logarithms of rational numbers with rational coefficients, inspired by the subspace theorem and which would imply, for example, the abc conjecture.
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- Copyright © Australian Mathematical Society 1999
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